In: Physics
what is the magnetic susceptibility of a sample? how does it change with different magnetic behaviours in the solid?
Magnetic susceptibility 
 is a measure of
how easily a substance is magnetized in a field. The magnetic
susceptibility of a magnetic substance is defined as the ratio of
the intensity of magnetization 
to the magnetic intensity 
.

Where 
 is the intensity of the magnetization and 
 is the magnetic intensity. Magnetic susceptibility has no unit
because the unit of 
 and 
 is same 
 .
Intensity of the magnetization 
 is defined by:

Where 
 is magnetic moment and 
 is the volume of the solid.
Magnetic intensity 
 is defined by:

Where 
 is the magnetic field and 
 is the permeability of space.
Magnetic susceptibility 
 from the equation (1) and (2):



From above equation, we can conclude how magnetic
susceptibility 
 changes with different magnetic behaviors in the solid.
 increases the magnetic susceptibility decreases because 
.
 of the solid increases the magnetic susceptibility decreases
because 
.
.